Total
18. The price of one games console is x times the price of another.
When both prices are increased by £40, their prices are in the ratio 7: 3.
When both prices are decreased by £40, their prices are in the ratio 5: 1.
Find x.

What is x

Respuesta :

Answer:

x=3

Step-by-step explanation:

(scroll)

a:b = xb:b

a+40:b+40 = 7:3

a+40/b+40=7/3

3(a+40)=7(b+40)

3a+120=7b+280

3a=7b+160

160=3a-7b

a-40:b-40 = 5:1

a-40/b-40=5/1

a-40=5(b-40)

a-40=5b-200

a=5b-160

3a=15b-480

-480=3a-15b

160=3a-7b - (-480=3a-15b)

640=8b

b=80

160=3a-7(b)

160=3a-7(80)

160=3a-560

720=3a

a=240

x*80=240

x=3

(The numbers seem to work so I think this is right!)